Linear perturbations of a nonoscillatory second order differential equation II

DOI10.1090/S0002-9939-02-06682-0zbMath1032.34049OpenAlexW1539199977WikidataQ115290168 ScholiaQ115290168MaRDI QIDQ4791483

William F. Trench

Publication date: 28 January 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06682-0

zbMATH Keywords

asymptotic propertiessecond-order differential equationslinear perturbationsnonoscillatory differential equation

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items

Asymptotic integration of nonoscillatory differential equations: A unified approach, Trench's perturbation theorem for dynamic equations, Interpolation in the asymptotic integration of nonoscillatory differential equations, Linear perturbations of a nonoscillatory second-order dynamic equation

Cites Work

• Linear Perturbations of a Nonoscillatory Second Order Equation
• Asymptotic Integration of a Second Order Ordinary Differential Equation
• Asymptotic Integrations of Nonoscillatory Second Order Differential Equations
• On a problem of Hartman and Wintner
• Necessary and sufficient conditions for the solvability of a problem of Hartman and Wintner
• On the Asymptotic Behaviour of Solutions of a Differential Equation in Boundary Layer Theory